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82794929616 = 24327419196033
BaseRepresentation
bin100110100011011110…
…1100101110111010000
321220201010021012122200
41031012331211313100
52324031000221431
6102011354403200
75660510201310
oct1150675456720
9256633235580
1082794929616
1132127641073
1214067a30500
137a661a8219
14401603d440
152248a55ee6
hex1346f65dd0

82794929616 has 120 divisors (see below), whose sum is σ = 265445718720. Its totient is φ = 23599116288.

The previous prime is 82794929579. The next prime is 82794929639. The reversal of 82794929616 is 61692949728.

82794929616 is a `hidden beast` number, since 8 + 2 + 7 + 9 + 4 + 9 + 2 + 9 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324336 + ... + 520368.

It is an arithmetic number, because the mean of its divisors is an integer number (2212047656).

Almost surely, 282794929616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82794929616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132722859360).

82794929616 is an abundant number, since it is smaller than the sum of its proper divisors (182650789104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82794929616 is a wasteful number, since it uses less digits than its factorization.

82794929616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196473 (or 196464 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 82794929616 in words is "eighty-two billion, seven hundred ninety-four million, nine hundred twenty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 419 504 838 1008 1257 1676 2514 2933 3352 3771 5028 5866 6704 7542 8799 10056 11732 15084 17598 20112 23464 26397 30168 35196 46928 52794 60336 70392 105588 140784 196033 211176 392066 422352 588099 784132 1176198 1372231 1568264 1764297 2352396 2744462 3136528 3528594 4116693 4704792 5488924 7057188 8233386 9409584 10977848 12350079 14114376 16466772 21955696 24700158 28228752 32933544 49400316 65867088 82137827 98800632 164275654 197601264 246413481 328551308 492826962 574964789 657102616 739240443 985653924 1149929578 1314205232 1478480886 1724894367 1971307848 2299859156 2956961772 3449788734 3942615696 4599718312 5174683101 5913923544 6899577468 9199436624 10349366202 11827847088 13799154936 20698732404 27598309872 41397464808 82794929616